Kale, A.P.; Solanke, Y.S.; Shekh, S.H.; Pradhan, A. Transit f(Q,T) Gravity Model: Observational Constraints with Specific Hubble Parameter. Symmetry2023, 15, 1835.
Kale, A.P.; Solanke, Y.S.; Shekh, S.H.; Pradhan, A. Transit f(Q,T) Gravity Model: Observational Constraints with Specific Hubble Parameter. Symmetry 2023, 15, 1835.
Kale, A.P.; Solanke, Y.S.; Shekh, S.H.; Pradhan, A. Transit f(Q,T) Gravity Model: Observational Constraints with Specific Hubble Parameter. Symmetry2023, 15, 1835.
Kale, A.P.; Solanke, Y.S.; Shekh, S.H.; Pradhan, A. Transit f(Q,T) Gravity Model: Observational Constraints with Specific Hubble Parameter. Symmetry 2023, 15, 1835.
Abstract
The present analysis deals with the study of the $f(Q, T )$ theory of gravity which was recently considered by many cosmologists. In this theory of gravity, the action is taken as an arbitrary function $f(Q, T )$ where $Q$ is non-metricity and $T$ is the trace of energy-momentum tensor for matter fluid. In this study, we have taken three different forms of the function $f(Q, T )$ as $f(Q,T)=a_1Q+a_2 T$ and $f(Q,T)=a_3 Q^2+a_4 T$ and discussed some physical properties of the same. Also, we have obtained the various cosmological parameters towards Friedmann-Lemaitre-Robertson-walker (FLRW) Universe by defining the transit form of scale factor which yields the Hubble parameter in redshift form as $H(z)=\frac{H_{0}}{(\lambda+1)} \left(\lambda+ (1+z)^{\delta}\right)$. %We have obtained the approx best-fit values of model parameters using the least square method for observational constraints on available datasets like Hubble dataset $H(z)$, Supernova dataset SNe-Ia, etc., by applying the Root Mean Squared Error formula (RMSE). By applying the Root Mean Squared Error formula (RMSE), we were able to determine the approximate best-fit values of model parameters using the least square approach for observational constraints on the datasets Hubble dataset $H(z)$, Supernova dataset SNe-Ia, etc. We have observed that the deceleration parameter $q(z)$ exhibits a signature-flipping (transition) point within the range $0.623 \le z_{0} \le 1.668$ through which it changes its phase from the decelerated to the accelerated expanding universe with $\omega = -1$ at $z=-1$ for the approximate best-fit values of the model parameters. %For obtained approx best-fit values of model parameters we have observed that the deceleration parameter $q(z)$ shows a signature-flipping (transition) point within the range $0.623 \le z_{0} \le 1.668$ through which it changes its phase from decelerated to the accelerated expanding universe with $\omega = -1$ at $z=-1$.
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